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Finding the Fourth Proportional to 518.84, 774.45 and 457.32

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Solution

The fourth proportional to 518.84, 774.45 and 457.32 is: 682.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.84 : 774.45 = 457.32 : x
  2. Step 2: Convert to fraction form
    518.84/774.45 = 457.32/x
  3. Step 3: Cross multiply
    518.84x = 774.45 × 457.32
  4. Step 4: Simplify right side
    518.84x = 354,169.19
  5. Step 5: Solve for x
    x = 354,169.19/518.84
  6. Step 6: Final answer
    x = 682.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.